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Finding the Fourth Proportional to 1,826.31, 2,739.65 and 510.06

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Solution

The fourth proportional to 1,826.31, 2,739.65 and 510.06 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.31 : 2,739.65 = 510.06 : x
  2. Step 2: Convert to fraction form
    1,826.31/2,739.65 = 510.06/x
  3. Step 3: Cross multiply
    1,826.31x = 2,739.65 × 510.06
  4. Step 4: Simplify right side
    1,826.31x = 1,397,383.33
  5. Step 5: Solve for x
    x = 1,397,383.33/1,826.31
  6. Step 6: Final answer
    x = 765.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.